MinT - Information on Result #1074855

Information on Result #1074855

Linear OOA(2⁹², 152, F₂, 4, 20) (dual of [(152, 4), 516, 21]-NRT-code), using extracting embedded OOA based on digital (72, 92, 152)-net over F₂, using

trace code for nets [i] based on digital (3, 23, 38)-net over F₁₆, using
- net from sequence [i] based on digital (3, 37)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
    - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2⁹³, 152, F₂, 4, 20) (dual of [(152, 4), 515, 21]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁹⁴, 152, F₂, 4, 20) (dual of [(152, 4), 514, 21]-NRT-code)	[i]
3	Linear OOA(2⁹⁵, 152, F₂, 4, 20) (dual of [(152, 4), 513, 21]-NRT-code)	[i]
4	Linear OOA(2⁹², 76, F₂, 7, 20) (dual of [(76, 7), 440, 21]-NRT-code)	[i]		OOA Folding
5	Linear OOA(2⁹², 76, F₂, 8, 20) (dual of [(76, 8), 516, 21]-NRT-code)	[i]		OOA Folding